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Finding the Fourth Proportional to 360.48, 497.25 and 262.07

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Solution

The fourth proportional to 360.48, 497.25 and 262.07 is: 361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 497.25 = 262.07 : x
  2. Step 2: Convert to fraction form
    360.48/497.25 = 262.07/x
  3. Step 3: Cross multiply
    360.48x = 497.25 × 262.07
  4. Step 4: Simplify right side
    360.48x = 130,311.82
  5. Step 5: Solve for x
    x = 130,311.82/360.48
  6. Step 6: Final answer
    x = 361.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.